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Popular >

extreme f(x)=xe^{-5x}

Solution

extreme points

f (x) = x e^{- 5 x}

Solution

Maximum (\frac{1}{5}, \frac{1}{5 e})

Solution steps

f^{'} (x) = e^{- 5 x} (1 - 5 x)

Find intervals:

Increasing

: - \infty < x < \frac{1}{5},

Decreasing

: \frac{1}{5} < x < \infty

Plug

x = \frac{1}{5}

into

x e^{- 5 x} : \frac{1}{5 e}

Maximum (\frac{1}{5}, \frac{1}{5 e})

Popular Examples

asymptotes of f(x)= 3/(-6x+7)asymptotes

f (x) = \frac{3}{- 6 x + 7}

inverse of f(x)=x^3+5 inverse

f (x) = x^{3} + 5

domain of sqrt(5x+5)domain

5 x + 5

domain of f(x)=cos(5x)domain

f (x) = cos (5 x)

range of e^{-x}range

e^{- x}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=xe^{-5x} ?
The extreme f(x)=xe^{-5x} is Maximum(1/5 , 1/(5e))